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Finding the Fourth Proportional to 5,838.49, 7,992.64 and 5,796.80

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Solution

The fourth proportional to 5,838.49, 7,992.64 and 5,796.80 is: 7,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.49 : 7,992.64 = 5,796.80 : x
  2. Step 2: Convert to fraction form
    5,838.49/7,992.64 = 5,796.80/x
  3. Step 3: Cross multiply
    5,838.49x = 7,992.64 × 5,796.80
  4. Step 4: Simplify right side
    5,838.49x = 46,331,735.55
  5. Step 5: Solve for x
    x = 46,331,735.55/5,838.49
  6. Step 6: Final answer
    x = 7,935.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.